Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
63580f |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
-675253320288800000 = -1 · 28 · 55 · 112 · 178 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,109724,37014724] |
[a1,a2,a3,a4,a6] |
j |
81807536/378125 |
j-invariant |
L |
3.7035306436014 |
L(r)(E,1)/r! |
Ω |
0.20575170240934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63580h1 |
Quadratic twists by: 17 |